Some of them were initially reluctant to do so, but eventually decided to cease their operations.
Other firms continue their business activity in Russia, but are facing mounting public pressure to withdraw.
This is partly thanks to a team from Yale University in the United States, which has compiled a comprehensive list of companies showing their Russia status.
This database has gained massive publicity in the media.
Radio Poland’s Piotr Miszczuk speaks with Michał Wyrębkowski, one of five Polish members of the team.
Click on the audio player above to hear the interview.